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Finding the Fourth Proportional to 85.39, 117.84 and 52.64

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Solution

The fourth proportional to 85.39, 117.84 and 52.64 is: 72.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.39 : 117.84 = 52.64 : x
  2. Step 2: Convert to fraction form
    85.39/117.84 = 52.64/x
  3. Step 3: Cross multiply
    85.39x = 117.84 × 52.64
  4. Step 4: Simplify right side
    85.39x = 6,203.10
  5. Step 5: Solve for x
    x = 6,203.10/85.39
  6. Step 6: Final answer
    x = 72.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.